Answer:
4) x = 168°
5) x = 4 ,,, ∠E = 99°
6) x = 200/3° ,,, 2x = 400/3°
Step-by-step explanation:
- the sum of the interior angles of a figure = (number of sides - 2) * 180
4)
the sum of the interior angles = (6 - 2) * 180 = 720°
the sixth angle = the sum of the interior angles - the sum of the five angles
x = 720 - (84 + 87 + 103 + 150 + 128) = 168
5)
the sum of the interior angles = (4 - 2) * 180 = 360°
equation for x:
75 + 100 + 86 + 24x + 3 = 360
24x = 360 - 3 - 86 - 100 - 75
24x = 96
x = 96/24
x = 4
∠E = 24*4 + 3 = 99°
6)
the sum of the interior angles = (5 - 2) * 180 = 540°
equation for x:
100 + 140 + 100 + x + 2x = 540
x + 2x = 540 - 100 - 140 - 100
3x = 200
x = 200/3
2x = 2*200/3 = 400/3
100 + 100 + 140 + 200/3 + 400/3 =
300/3 + 300/3 + 420/3 + 200/3 + 400/3 =
1620/3 = 540
